Iryna Yehorchenko

Scopus Publications

Differential Invariants, Hidden and Conditional Symmetry
I. A. Yehorchenko
Ukrainian Mathematical Journal, 2022
Solutions of the system of d'Alembert and eikonal equations, and classification of reductions of PDEs
Irina Yehorchenko
Journal of Physics Conference Series, 2015
We present an approach to systematic description and classification of solutions of partial differential equations that are obtained by means of reduction of these equations to other equations with smaller number of independent variables. We propose to classify such reductions by means of classification of reduction conditions. The approach is illustrated by an example of the system of d'Alembert and eikonal equations. Solutions of this system were used to outline classification of reductions for the general nonlinear d'Alembert equation, with generalisation to arbitrary Poincaré invariant equations.
Group classification of generalized eikonal equations
R. O. Popovych, I. A. Ehorchenko
Ukrainian Mathematical Journal, 2001
Second-order differential invariants for some extensions of the poincaré group and invariant equations
V.F. Kovalev, S.V. Krivenko, V.V. Pustovalov
Journal of Nonlinear Mathematical Physics, 1996
Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1, n), G(1, n)
W. I. Fushchich, I. A. Yegorchenko
Acta Applicandae Mathematicae, 1992
Non-Lie ansatzen and conditional symmetry of the nonlinear Schrödinger equation
V. I. Fushchich, I. A. Egorchenko
Ukrainian Mathematical Journal, 1991
On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system
W.I. Fushchich, R.Z. Zhdanov, I.A. Yegorchenko
Journal of Mathematical Analysis and Applications, 1991
Differential invariants of a Euclidean algebra
I. A. Egorchenko
Ukrainian Mathematical Journal, 1990
The symmetry and exact solutions of the nonlinear d'Alembert equation for complex fields
W I Fushchich, I A Yegorchenko
Journal of Physics A Mathematical and General, 1989
The nonlinear wave equations for the complex scalar field invariant under a conformal group are constructed and multiparametrical exact solutions of certain nonlinear complex d'Alembert equations are found.

Iryna Yehorchenko

RESEARCH, TEACHING, or OTHER INTERESTS

Scopus Publications